List of top Questions asked in JEE Main

Let $N$ denote the number that turns up when a fair die is rolled If the probability that the system of equations$ x+y+z=1 $ $ 2 x + Ny +2 z=2 $ $ 3 x +3 y+ N z=3$ has unique solution is $\frac{k}{6}$, then the sum of value of $k$ and all possible values of $N$ is

Choose the correct representation of conductometric titration of benzoic acid vs sodium hydroxide

For an object placed at a distance $24\, m$ from a lens, a sharp focused image is observed on a screen placed at a distance $12\, cm$ from the lens A glass plate of refractive index $15$ and thickness $1 \,cm$ is introduced between lens and screen such that the glass plate plane faces parallel to the screen By what distance should the object be shifted so that a sharp focused image is observed again on the screen?

Let $P$ be the plane, passing through the point $(1,-1,-5)$ and perpendicular to the line joining the points $(4,1,-3)$ and $(2,4,3)$. Then the distance of $P$ from the point $(3,-2,2)$ is

The tangents at the point $A (1,3)$ and $B (1,-1)$ on the parabola $y^2-2 x-2 y=1$ meet at the point $P$ Then the area (in unit $^2$ ) of $\triangle PAB$ is :-

Let αx=exp(x^βy^γ) be the solution of the differential equation 2x²ydy−(1−xy²) dx = 0, x>0 , y(2)=$\sqrt {log_e2}$. Then α+β−γ equals :

If $A=\frac{1}{2}\begin{bmatrix}1 & \sqrt{3} \\ -\sqrt{3} & 1\end{bmatrix}$, then :

An organic compound $[ A ]\left( C _4 H _{11} N \right)$, shows optical activity and gives $N _2$ gas on treatment with The structure of $A$ is :

In the wet tests for identification of various cations by precipitation, which transition element cation doesn't belong to group IV in qualitative inorganic analysis ?

Two different lenses are used in telescope because

The half-life of a radioactive nucleus is 5 years. The fraction of the original sample that would decay in 15 years is:

The logic operations performed by the given digital circuit is equivalent to:

3, 8, 13, ......,373 are in arithmetic series. The sum of numbers not divisible by three is

An object moves x distance with speed $v_1$ and next $x$ distance with speed $v_2$. The average velocity $v$ is related to $v_1$ and $v_2$ as

Given A, B, C represents angles of a ⃤ AB and cosA + 2 cosB + cosC = 2 and AB = 3 and BC = 7 then cosA – cosC is?

The following statements are given :
(1) The average kinetic energy of a gas molecule decreases when the temperature is reduced
(2) The average kinetic energy of a gas molecule increases with increase in pressure at constant temperature
(3) The average kinetic energy of a gas molecule decreases with increases in volume
(4) Pressure of a gas increases with increase in temperature at constant pressure
(5) The volume of gas decreases with increase in temperature
Choose the correct answer from the options given below :

The reaction of $H _2 O _2$ with potassium permanganate in acidic medium leads to the formation of mainly:

The largest natural number $n$ such that $3^n$ divides $66!$ is:

$5 \,g$ of $NaOH$ was dissolved in deionized water to prepare a $450 \,mL$ stock solution What volume (in $mL$ ) of this solution would be required to prepare $500 \,mL$ of $01\, M$ solution? Given: Molar Mass of $Na, O$ and $H$ is 23,16 and $1 \,g\, mol ^{-1}$ respectively

Correct order of strength of H-bond in the following -:
(A) Liquid water
(B) Ice
(C) Impure water

$K_2Cr_2O_7$ paper acidified with dil. $H_2SO_4$ turns green when exposed to :

Let $S$ denote the set of all real values of $\lambda$ such that the system of equations
$ \lambda x+y+z=1 $
$x+\lambda y+z=1 $
$x+y+\lambda z=1$
is inconsistent, then $\displaystyle \sum_{\lambda \in S}\left(|\lambda|^2+|\lambda|\right)$ is equal to

If the velocity of light $c$, universal gravitational constant $G$ and Planck's constant $h$ are chosen as fundamental quantities The dimensions of mass in the new system is :

Two polaroide $A$ and $B$ are placed in such a way that the pass-axis of polaroids are perpendicular to each other Now, another polaroid $C$ is placed between $A$ and $B$ bisecting angle between them If intensity of unpolarized light is $I _0$ then intensity of transmitted light after passing through polaroid $B$ will be:

Considering a group of positive charges, which of the following statements is correct ?